Put the steps for rewriting the equation of a circle below in standard form completing the square in order

a) 1.

f)6.

d)5.

c)7.

g)3.

e)4.

b)2.

Step-by-step explanation:

putting the steps for rewriting the equation of a circle below in standard form completing the square in order:

Step 1)

a. where 36 is added on both sides of the equation

as it is square of half of 12.

x^2 +12x+36 +y^2 +30y=24+36               (1)

Step 2)

f. where 225 is added on both sides of equation as it is square of half of 30

x^2 +12x+36 +y^2 +30y+225=24+36+225             (6)

Step3)

d. adding numbers on r.h.s

x^2 +12x+36 +y^2 +30y+225=285             (5)

Step4)

c) Factoring the x values into binomial factors

(x+6)(x+6) +36 +y^2 +30y+225=285         (7)

Step5)

g) re-writing x factors as squares

(x+6)^2 +36 +y^2 +30y+225=285         (3)

Step6)

e)Factoring the y values into binomial factors

(x+6)^2 +36 +(y+15)(y+15)=285             (4)

Step7)

b)re-writing x factors as squares

(x+6)^2 +36 +(y+15)^2=285               (2)!

answer: 15

step-by-step explanation: